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Simplifying 19 + -1(3y + -2) = (y + -2) + 3y Reorder the terms: 19 + -1(-2 + 3y) = (y + -2) + 3y 19 + (-2 * -1 + 3y * -1) = (y + -2) + 3y 19 + (2 + -3y) = (y + -2) + 3y Combine like terms: 19 + 2 = 21 21 + -3y = (y + -2) + 3y Reorder the terms: 21 + -3y = (-2 + y) + 3y Remove parenthesis around (-2 + y) 21 + -3y = -2 + y + 3y Combine like terms: y + 3y = 4y 21 + -3y = -2 + 4y Solving 21 + -3y = -2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 21 + -3y + -4y = -2 + 4y + -4y Combine like terms: -3y + -4y = -7y 21 + -7y = -2 + 4y + -4y Combine like terms: 4y + -4y = 0 21 + -7y = -2 + 0 21 + -7y = -2 Add '-21' to each side of the equation. 21 + -21 + -7y = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -7y = -2 + -21 -7y = -2 + -21 Combine like terms: -2 + -21 = -23 -7y = -23 Divide each side by '-7'. y = 3.285714286 Simplifying y = 3.285714286
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